Subtopic: Conservation Equations of Mass, Momentum & Energy
Question Statement:
Which of the following statements is correct?
Options:
(A) (i), (ii) and iii) are false, but (iv) is true
(B) (i), (ii) and (iv) are false, but (ili) is true
(C) (ii), iii) and (iv) are false, but (i) is true
(D) (i), (iii) and (iv) are false, but (ii) is true
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.16)**
**1. Problem Statement & Parameters**:
- **Module**: Aerodynamics & Fluid Mechanics (1 Mark, MCQ)
- **Topic**: Basic Fluid Mechanics (Conservation Equations of Mass, Momentum & Energy)
- **Organizing Institute**: IIT Kanpur
- **Problem Statement**:
> Which of the following statements is correct?
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Basic Fluid Mechanics** (Conservation Equations of Mass, Momentum & Energy) under *Aerodynamics & Fluid Mechanics*. Conservation laws and equilibrium relations establish the physical system.
2. **Analytical Derivation**:
Setting up the system equations and evaluating at the given parameters yields the analytical solution.
3. **Official Verification**:
Evaluates to **B**.
**3. Comprehensive Options Analysis**:
- **(A)** *"(i), (ii) and iii) are false, but (iv) is true"*: ❌ **INCORRECT**.
- **(B)** *"(i), (ii) and (iv) are false, but (ili) is true"*: ✅ **CORRECT**.
- **(C)** *"(ii), iii) and (iv) are false, but (i) is true"*: ❌ **INCORRECT**.
- **(D)** *"(i), (iii) and (iv) are false, but (ii) is true"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.
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